Divide : 11x² + 19x - 6 by x +2
Answers
Answer:
The first term is, 11x2 its coefficient is 11 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 11 • -6 = -66
Step-2 : Find two factors of -66 whose sum equals the coefficient of the middle term, which is -19 .
-66 + 1 = -65 -33 + 2 = -31 -22 + 3 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -22 and 3
11x2 - 22x + 3x - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
11x • (x-2)
Add up the last 2 terms, pulling out common factors :
3 • (x-2)
Step-5 : Add up the four terms of step 4 :
(11x+3) • (x-2)
Which is the desired factorization
Step-by-step explanation:
hope it helps
Answer:
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